Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 287, 913, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 913, 755 is 1
GCD(287, 913, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 913, 755 is 1
GCD(287, 913, 755) = 1
Given Input numbers are 287, 913, 755
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 287, 913, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 913, 755 is 1.
Therefore, GCD of numbers 287, 913, 755 is 1
Given Input Data is 287, 913, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 913 is 11 x 83
Prime Factorization of 755 is 5 x 151
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(287, 913) = 262031
GCD(287, 913) = ( 287 x 913 ) / 262031
GCD(287, 913) = 262031 / 262031
GCD(287, 913) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 287, 913, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 913, 755?
GCD of 287, 913, 755 is 1
2. Where do I get the detailed procedure to find GCD of 287, 913, 755?
You can find a detailed procedure to find GCD of 287, 913, 755 on our page.
3. How to find GCD of 287, 913, 755 on a calculator?
You can find the GCD of 287, 913, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.